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[" (9) "sqrt(6+sqrt(6+sqrt(6+...))),=......

[" (9) "sqrt(6+sqrt(6+sqrt(6+...))),=.........],[," A."4," B.3"quad " C."-2," D.3.5"]

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In the quadratic equation A(sqrt(3)-sqrt(2))x^(2)+(B)/(sqrt(3)+sqrt(2))x+C=0 with alpha,beta as its roots.If A=(49+20sqrt(6))^((1)/(4));B= sum of the infinit G.P. as 8sqrt(3)+8(sqrt(6))/(sqrt(3))+(16)/(sqrt(3))+........oo and | alpha-beta|=(6sqrt(6))^(k)k=log_(6)sqrt(10)-2log_(6)sqrt(5)+log_(6)sqrt(log_(6)18+log_(6)72) then find the value of C.

If (6)/(2sqrt(3)-sqrt(5))=(12sqrt(3)+6sqrt(5))/(k), then k=